Theorem bj-ssbid1 32647

Description: A special case of bj-ssbequ1 32644. (Contributed by BJ, 22-Dec-2020.)

Assertion

Ref	Expression
bj-ssbid1	|- ( ph -> [ x/ x]b ph )

Proof of Theorem bj-ssbid1

Step	Hyp	Ref	Expression
1		equid 1939	. 2 |- x = x
2		bj-ssbequ1 32644	. 2 |- ( x = x -> ( ph -> [ x/ x]b ph ) )
3	1, 2	ax-mp 5	1 |- ( ph -> [ x/ x]b ph )

Syntax hints:   -> wi 4  [wssb 32619

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1722  ax-4 1737  ax-5 1839  ax-6 1888  ax-7 1935  ax-12 2047

This theorem depends on definitions:  df-bi 197  df-an 386  df-ex 1705  df-ssb 32620

This theorem is referenced by: (None)